Results 21 to 30 of about 123,114 (281)
Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators
Fractal and Fractional, 2021 In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder’s fixed point technique.
Kulandhaivel Karthikeyan +2 more
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Axioms, 2022 In this paper, we present some results of coupled fixed points for the system of non-linear integral equations in Banach space. Our results enlarge the results of newer papers.
Rakesh Kumar +3 more
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Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces
Mathematics, 2020 In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at (1,1).
S. Chatterjee, T. Bag, Jeong-Gon Lee
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On the Hausdorff measure of non-compactness for the parametrized Prokhorov metric [PDF]
, 2016 We quantify Prokhorov's Theorem by establishing an explicit formula for the Hausdorff measure of non-compactness (HMNC) for the parametrized Prokhorov metric on the set of Borel probability measures on a Polish space.
Berckmoes, Ben
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Szlenk indices of convex hulls [PDF]
, 2016 We study the general measures of non-compactness defined on subsets of a dual Banach space, their associated derivations and their $\omega$-iterates. We introduce the notions of convexifiable and sublinear measure of non-compactness and investigate the ...
Lancien, Gilles +2 more
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Advances in Difference Equations, 2020 In this paper, we discuss fixed point theorems for a new χ-set contraction condition in partially ordered Banach spaces, whose positive cone K $\mathbb{K}$ is normal, and then proceed to prove some coupled fixed point theorems in partially ordered Banach
Hemant Kumar Nashine +3 more
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Mathematics, 2023 In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch ...
Thitiporn Linitda +3 more
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Absolute Continuity Theorem for Random Dynamical Systems on $R^d$ [PDF]
, 2012 In this article we provide a proof of the so called absolute continuity theorem for random dynamical systems on $R^d$ which have an invariant probability measure. First we present the construction of local stable manifolds in this case. Then the absolute
Anosov D. V. +5 more
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Mathematics, 2023 In this work, we concentrate on the existence of the solutions set of the following problem cDqασ(t)∈F(t,σ(t),cDqασ(t)),t∈I=[0,T]σ0=σ0∈E, as well as its topological structure in Banach space E. By transforming the problem posed into a fixed point problem,
Ali Rezaiguia, Taher S. Hassan
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On the Hardy-type integral operators in Banach function spaces [PDF]
, 1998 Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are ...
Lomakina, E., Stepanov, V.
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